28206179527680 has 4224 divisors, whose sum is σ = 136044723087360. Its totient is φ = 5380893573120.

The previous prime is 28206179527621. The next prime is 28206179527693. The reversal of 28206179527680 is 8672597160282.

28206179527680 is a `hidden beast` number, since 2 + 8 + 2 + 0 + 617 + 9 + 5 + 2 + 7 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 163041500074 + ... + 163041500246.

Almost surely, 2^{28206179527680} is an apocalyptic number.

28206179527680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28206179527680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68022361543680).

28206179527680 is an abundant number, since it is smaller than the sum of its proper divisors (107838543559680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28206179527680 is a wasteful number, since it uses less digits than its factorization.

28206179527680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 28206179527680 in words is "twenty-eight trillion, two hundred six billion, one hundred seventy-nine million, five hundred twenty-seven thousand, six hundred eighty".